The value of k, for which the function f(x)= cases ( 45 )^ 4x 5x , & 0<x< 2 k+ 25, & x= 2 cases is continuous at x= 2, is

MHT CET 2024 Mathematics question

The value of k, for which the function is continuous at , is

Answer: (B)

Continuity requires . Put with . Then and . So the exponent is

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Question ID VK-092666